Determine the scale factors for an orthogonal coordinate system ( s, t, v ) whose coordinates are related to the cartesion by following equations:
x = 2st:, y = s^2-t^2:, z = v
Also write down an expression for the square of the arc element.
x = 2st:, y = s^2-t^2:, z = v
Also write down an expression for the square of the arc element.